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Finding the Fourth Proportional to 2,574.64, 3,854.94 and 1,792.72

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Solution

The fourth proportional to 2,574.64, 3,854.94 and 1,792.72 is: 2,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.64 : 3,854.94 = 1,792.72 : x
  2. Step 2: Convert to fraction form
    2,574.64/3,854.94 = 1,792.72/x
  3. Step 3: Cross multiply
    2,574.64x = 3,854.94 × 1,792.72
  4. Step 4: Simplify right side
    2,574.64x = 6,910,828.04
  5. Step 5: Solve for x
    x = 6,910,828.04/2,574.64
  6. Step 6: Final answer
    x = 2,684.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.